Solve the all parts of given question:

Question: A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by x(t) = bt² - ct³, where b = 2.20 m/s² and c = 0.130 m/s³.

Part A: Calculate the average velocity of the car for the time interval t = 0 to t = 12.0 s.

.............m/s

Part B: Calculate the instantaneous velocity of the car at the following times:

i) t = 0

.......m/s

ii) t = 6.0 s

........m/s

iii) t = 12.0 s

.........m/s

Part C: How long after starting from rest is the car again at rest?

........s

Please show all work and explain your methods for above questions.